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arXiv.org e-Print Archive
Preprint . 2008
Data sources: arXiv.org e-Print Archive
Journal of Physics A Mathematical and Theoretical
Article . 2009 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2008
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
https://arxiv.org/abs/0808.185...
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Journal of Physics A Mathematical and Theoretical
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Inverse nodal problems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 07 Apr 2009Embargo end date: 01 Jan 2008Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and Theoretical, volume 42, page 175,209 (issn: 1751-8113, eissn: 1751-8121, Copyright policy )
Authors: David Klawonn;

doi: 10.1088/1751-8113/42/17/175209 , 10.48550/arxiv.0808.1851

arXiv: http://arxiv.org/abs/0808.1851

Inverse nodal problems

Abstract

It is shown that nodal sequences determine the underlying manifold up to scaling within classes of rectangles with Dirichlet boundary conditions, separable two dimensional tori, two-dimensional flat Klein bottles and flat tori in two and three dimensions.

12 pages, 1 figure

Related Organizations
Keywords

Mathematics - Spectral Theory, 58J53; 58J50, FOS: Mathematics, FOS: Physical sciences, 58J50, Mathematical Physics (math-ph), Spectral Theory (math.SP), Mathematical Physics, 58J53

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 10
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Average
Top 10%
Green